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Existence of positive solutions for period BVPs with Hilfer derivative

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Abstract

In this paper, we consider a class of period boundary value problems of fractional differential equations with Hilfer derivative. We establish some existence criterions of positive solutions by using the fixed point theorems and the upper and lower solutions method. Finally, some examples are given to illustrate our main results.

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Acknowledgements

The work is supported by Hunan Provincial Innovation Foundation For Postgraduate (CX2018B072).

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Authors and Affiliations

  1. Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People’s Republic of China

    Teng Long, Chengfu Li & Jiawei He

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  1. Teng Long
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  2. Chengfu Li
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  3. Jiawei He
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Correspondence to Jiawei He.

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Long, T., Li, C. & He, J. Existence of positive solutions for period BVPs with Hilfer derivative. J. Appl. Math. Comput. 60, 223–236 (2019). https://doi.org/10.1007/s12190-018-1210-z

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  • DOI: https://doi.org/10.1007/s12190-018-1210-z

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